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Finding the Third Proportional to 150,144 and 326,248

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Solution

The third proportional to 150,144 and 326,248 is: 708,904.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,144 : 326,248 = 326,248 : x
  2. Step 2: Convert to fraction form
    150,144/326,248 = 326,248/x
  3. Step 3: Cross multiply
    150,144x = 326,248 × 326,248
  4. Step 4: Simplify right side
    150,144x = 106,437,757,504
  5. Step 5: Solve for x
    x = 106,437,757,504/150,144
  6. Step 6: Final answer
    x = 708,904.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.